Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with spatially modulated nonlinearity

Journal Article · Wed Sep 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.033614· OSTI ID:21450615

Jiefang, Zhang; Jianping, Meng; Lei, Wu ^[1]; Yishen, Li ^[2]; Malomed, Boris A ^[3]

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1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004 (China)
2. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026 (China)
3. Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)

We investigate solitons and nonlinear Bloch waves in Bose-Einstein condensates trapped in optical lattices (OLs). By introducing specially designed localized profiles of the spatial modulation of the attractive nonlinearity, we construct an infinite set of exact soliton solutions in terms of Mathieu and elliptic functions, with the chemical potential belonging to the semi-infinite gap of the OL-induced spectrum. Starting from the particular exact solutions, we employ the relaxation method to construct generic families of soliton solutions in a numerical form. The stability of the solitons is investigated through the computation of the eigenvalues for small perturbations, and also by direct simulations. Finally, we demonstrate a virtually exact (in the numerical sense) composition relation between nonlinear Bloch waves and solitons.

• OSTI ID: 21450615
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
COMPUTERIZED SIMULATION
DE BROGLIE WAVELENGTH
DISTURBANCES
EIGENVALUES
EXACT SOLUTIONS
MATHEMATICAL SOLUTIONS
MODULATION
NONLINEAR PROBLEMS
POTENTIALS
QUASI PARTICLES
RELAXATION
SIMULATION
SOLITONS
TRAPPING
WAVELENGTHS